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What would be the point slope form with the numbers (−2,3)(-2,3) and (2,4)(2,4)

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Full solution

Q. What would be the point slope form with the numbers (−2,3)(-2,3) and (2,4)(2,4)
  1. Calculate Slope: Now we have the slope, m=14m = \frac{1}{4}. We can use one of the points and the slope to write the equation in point-slope form, which is y−y1=m(x−x1)y - y_1 = m(x - x_1). Let's use the point (−2,3)(-2,3). y−3=14(x−(−2))y - 3 = \frac{1}{4}(x - (-2)) y−3=14(x+2)y - 3 = \frac{1}{4}(x + 2)
  2. Write Point-Slope Equation: We can leave the equation in this form, or we can simplify it a bit more by distributing the slope on the right side.\newliney−3=14x+14(2)y - 3 = \frac{1}{4}x + \frac{1}{4}(2)\newliney−3=14x+12y - 3 = \frac{1}{4}x + \frac{1}{2}

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